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Finding the Fourth Proportional to 2,478.87, 3,714.17 and 1,746.90

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Solution

The fourth proportional to 2,478.87, 3,714.17 and 1,746.90 is: 2,617.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.87 : 3,714.17 = 1,746.90 : x
  2. Step 2: Convert to fraction form
    2,478.87/3,714.17 = 1,746.90/x
  3. Step 3: Cross multiply
    2,478.87x = 3,714.17 × 1,746.90
  4. Step 4: Simplify right side
    2,478.87x = 6,488,274.84
  5. Step 5: Solve for x
    x = 6,488,274.84/2,478.87
  6. Step 6: Final answer
    x = 2,617.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.